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Finding the Third Proportional to 51,441,192 and 110,959,272

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Solution

The third proportional to 51,441,192 and 110,959,272 is: 239,340,488.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,441,192 : 110,959,272 = 110,959,272 : x
  2. Step 2: Convert to fraction form
    51,441,192/110,959,272 = 110,959,272/x
  3. Step 3: Cross multiply
    51,441,192x = 110,959,272 × 110,959,272
  4. Step 4: Simplify right side
    51,441,192x = 12,311,960,042,769,984
  5. Step 5: Solve for x
    x = 12,311,960,042,769,984/51,441,192
  6. Step 6: Final answer
    x = 239,340,488.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.